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Finding the Fourth Proportional to 784.52, 1,177.18 and 399.76

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Solution

The fourth proportional to 784.52, 1,177.18 and 399.76 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.52 : 1,177.18 = 399.76 : x
  2. Step 2: Convert to fraction form
    784.52/1,177.18 = 399.76/x
  3. Step 3: Cross multiply
    784.52x = 1,177.18 × 399.76
  4. Step 4: Simplify right side
    784.52x = 470,589.48
  5. Step 5: Solve for x
    x = 470,589.48/784.52
  6. Step 6: Final answer
    x = 599.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.